Let a one-dimensional velocity field with components u(x,t), v=w=0. The density varies as p(t) = (2-cost)- Po. where po

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Let A One Dimensional Velocity Field With Components U X T V W 0 The Density Varies As P T 2 Cost Po Where Po 1 (20.67 KiB) Viewed 58 times

Let a one-dimensional velocity field with components u(x,t), v=w=0. The density varies as p(t) = (2-cost)- Po. where po is a constant, which corresponds to the initial value of the density in the field. Derive an expression for u(x, t) given the following boundary condition for u: u(x=0,t)=U. Hint: You should start with the continuity equation for a variable-density fluid, which is ap apu apv, apw + -= 0 and simplified it under the stated assumptions. ax by ôz + expressed as: + ôt